Problem: Polycarp has just invented a new binary protocol for data transmission. He is encoding positive integer decimal number to binary string using following algorithm:

  * Each digit is represented with number of '1' characters equal to the value of that digit (for 0 it is zero ones). 
  * Digits are written one by one in order corresponding to number and separated by single '0' character. 



Though Polycarp learnt how to encode the numbers, he has no idea how to decode them back. Help him calculate the decoded number.

Input

The first line contains one integer number n (1 ≤ n ≤ 89) — length of the string s.

The second line contains string s — sequence of '0' and '1' characters, number in its encoded format. It is guaranteed that the number corresponding to the string is positive and doesn't exceed 109. The string always starts with '1'.

Output

Print the decoded number.

Examples

Input

3
111


Output

3


Input

9
110011101


Output

2031

Solution (in JAVA):

Solution:
import java.io.IOException;
import java.util.*;

public class BinaryProtocol 
{
    public static void main(String[] args)
    {
        FasterScanner sc = new FasterScanner();
        int n = sc.nextInt();
        int count = 0;
        String s = sc.nextLine();
        String number = "";
        
        for(int i = 0; i < n; i++) {
            char digit = s.charAt(i);
            if(digit == '1') {
                count++;
            } else {
                number += count + "";
                count = 0;
            }
            if(i == n - 1) {
                number += count + "";
            }
        }
        
        System.out.println(number);
    }
    
	public static class FasterScanner 
	{
		private byte[] buf = new byte[1024];
		private int curChar;
		private int numChars;

		public int read() 
		{
			if (numChars == -1)
				throw new InputMismatchException();
			if (curChar >= numChars) 
			{
				curChar = 0;
				try 
				{
					numChars = System.in.read(buf);
				} 
				catch (IOException e) 
				{
					throw new InputMismatchException();
				}
				if (numChars <= 0)
					return -1;
			}
			return buf[curChar++];
		}

		public String nextLine() 
		{
			int c = read();
			while (isSpaceChar(c))
				c = read();
			StringBuilder res = new StringBuilder();
			do 
			{
				res.appendCodePoint(c);
				c = read();
			} while (!isEndOfLine(c));
			return res.toString();
		}

		public String nextString() 
		{
			int c = read();
			while (isSpaceChar(c))
				c = read();
			StringBuilder res = new StringBuilder();
			do 
			{
				res.appendCodePoint(c);
				c = read();
			} while (!isSpaceChar(c));
			return res.toString();
		}

		public long nextLong()
		{
			int c = read();
			while (isSpaceChar(c))
				c = read();
			int sgn = 1;
			if (c == '-')
			{
				sgn = -1;
				c = read();
			}
			long res = 0;
			do 
			{
				if (c < '0' || c > '9')
					throw new InputMismatchException();
				res *= 10;
				res += c - '0';
				c = read();
			} while (!isSpaceChar(c));
			return res * sgn;
		}

		public int nextInt() 
		{
			int c = read();
			while (isSpaceChar(c))
				c = read();
			int sgn = 1;
			if (c == '-') 
			{
				sgn = -1;
				c = read();
			}
			int res = 0;
			do 
			{
				if (c < '0' || c > '9')
					throw new InputMismatchException();
				res *= 10;
				res += c - '0';
				c = read();
			} while (!isSpaceChar(c));
			return res * sgn;
		}
	        
	    public int[] nextIntArray(int n)
		{
	        int[] arr = new int[n];
	        for (int i = 0; i < n; i++) 
			{
	            arr[i] = nextInt();
	        }
	        return arr;
	    }
        
		public long[] nextLongArray(int n) 
		{
		    long[] arr = new long[n];
		    for (int i = 0; i < n; i++) 
			{
		        arr[i] = nextLong();
		    }
		    return arr;
		}
		
		public String[] nextStringArray(int n) 
		{
		    String[] arr = new String[n];
		    for (int i = 0; i < n; i++) 
			{
		        arr[i] = nextString();
		    }
		    return arr;
		}

	    private boolean isSpaceChar(int c) 
		{
			return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
		}

		private boolean isEndOfLine(int c) 
		{
			return c == '\n' || c == '\r' || c == -1;
		}
	}
}